Constructing Involutive Tableaux with Guillemin Normal Form

@article{Smith2015ConstructingIT,
  title={Constructing Involutive Tableaux with Guillemin Normal Form},
  author={A. Smith},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2015},
  volume={11},
  pages={053}
}
  • A. Smith
  • Published 2015
  • Mathematics
  • Symmetry Integrability and Geometry-methods and Applications
Involutivity is the algebraic property that guarantees solutions to an analytic and torsion-free exterior differential system or partial differential equation via the Cartan{Kahler theorem. Guillemin normal form establishes that the prolonged symbol of an involutive system admits a commutativity property on certain subspaces of the prolonged tableau. This article examines Guillemin normal form in detail, aiming at a more systematic approach to classifying involutive systems. The main result is… Expand
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